Article contents
On the simplest centralizer of a language
Published online by Cambridge University Press: 20 July 2006
Abstract
Given a finite alphabet Σ and a language L ⊆ ∑+, the centralizer of L is defined as the maximal language commuting with it. We prove that if the primitive root of the smallest word of L (with respect to a lexicographic order) is prefix distinguishable in L then the centralizer of L is as simple as possible, that is, the submonoid L*. This lets us obtain a simple proof of a known result concerning the centralizer of nonperiodic three-word languages.
- Type
- Research Article
- Information
- RAIRO - Theoretical Informatics and Applications , Volume 40 , Issue 2: Alberto Bertoni: Climbing summits , April 2006 , pp. 295 - 301
- Copyright
- © EDP Sciences, 2006
References
- 2
- Cited by